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Finding the Fourth Proportional to 2,096.94, 3,145.75 and 710.43

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Solution

The fourth proportional to 2,096.94, 3,145.75 and 710.43 is: 1,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.94 : 3,145.75 = 710.43 : x
  2. Step 2: Convert to fraction form
    2,096.94/3,145.75 = 710.43/x
  3. Step 3: Cross multiply
    2,096.94x = 3,145.75 × 710.43
  4. Step 4: Simplify right side
    2,096.94x = 2,234,844.72
  5. Step 5: Solve for x
    x = 2,234,844.72/2,096.94
  6. Step 6: Final answer
    x = 1,065.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.